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pro vyhledávání: '"Menchon, Paula"'
In previous work "Betweenness algebras" we introduced and examined the class of betweenness algebras. In the current paper we study a larger class of algebras with binary operators of possibility and sufficiency, the weak mixed algebras. Furthermore,
Externí odkaz:
http://arxiv.org/abs/2408.09581
In this paper we generalize the well known relation between Heyting algebras and Nelson algebras in the framework of subresiduated lattices. In order to make it possible, we introduce the variety of subresiduated Nelson algebras. The main tool for it
Externí odkaz:
http://arxiv.org/abs/2406.15183
The present paper is devoted to study the effect of connected and disconnected rotations of G\"odel algebras with operators grounded on directly indecomposable structures. The structures resulting from this construction we will present are nilpotent
Externí odkaz:
http://arxiv.org/abs/2405.19354
Drawing on the classic paper by Chellas "Basic conditional logic" (1975), we propose a general algebraic framework for studying a binary operation of conditional that models universal features of the "if..., then..." connective as strictly related to
Externí odkaz:
http://arxiv.org/abs/2404.13480
We introduce and study a class of betweenness algebras-Boolean algebras with binary operators, closely related to ternary frames with a betweenness relation. From various axioms for betweenness, we chose those that are most common, which makes our wo
Externí odkaz:
http://arxiv.org/abs/2309.00159
Publikováno v:
In Fuzzy Sets and Systems 1 January 2025 498
Autor:
Gruszczyński, Rafał, Menchón, Paula
One of the standard axioms for Boolean Contact Algebras says that if a region x is in contact with the join of y and z, then x is in contact with at least one of the two regions. Our intention is to examine a stronger version of this axiom according
Externí odkaz:
http://arxiv.org/abs/2205.11208
G\"odel modal logics can be seen as extenions of intutionistic modal logics with the prelinearity axiom. In this paper we focus on the algebraic and relational semantics for G\"odel modal logics that leverages on the duality between finite G\"odel al
Externí odkaz:
http://arxiv.org/abs/2110.02528
In this paper we provide a Stone style duality for monotone semilattices by using the topological duality developed in \cite{Celani2020} for semilattices together with a topological description of their canonical extension. As an application of this
Externí odkaz:
http://arxiv.org/abs/2109.01728
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